Question

The time line below contains an annuity with cash flow at the end of each period....

  1. The time line below contains an annuity with cash flow at the end of each period.

$1,000

$1,000

$1,000

$1,000

0

1

2

3

4

5

The periodic market interest rate is 12%.

  1. From the perspective of a potential investor at time 0 (zero), what type of annuity is described in the time line?

                                                                                                            _________________

  1. What is the total present value of the annuity at the end of period 1 (one)?

                                                                                                            _________________

  1. What is the total present value of the annuity at time 0 (zero)?        

                                                                                                            _________________

0 0
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Answer #1
Req a: The annuity is referred as ordinary annuity where the annual cashflowws starts from the end of Year-2
Req b:
Year Cashflows PVF at 12% Present value
1 0 1 0
2 1000 0.892857 892.8571
3 1000 0.797194 797.1939
4 1000 0.71178 711.7802
5 1000 0.635518 635.5181
Present value at the end of Year-1 3037.35
Req c:
Year Cashflows PVF at 12% Present value
0 0 1 0
1 0 0.892857 0
2 1000 0.797194 797.1939
3 1000 0.71178 711.7802
4 1000 0.635518 635.5181
5 1000 0.567427 567.4269
Present value today at Year-0 2711.91
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